Search a number
-
+
400004044400 = 24521138849647
BaseRepresentation
bin1011101001000100001…
…10010101011001110000
31102020110222011211212102
411310202012111121300
523023202013410100
6503432002515532
740620321164162
oct5644206253160
91366428154772
10400004044400
11144705944a84
1265634665ba8
132b94942618c
1415508936932
15a611e46cd5
hex5d22195670

400004044400 has 60 divisors (see below), whose sum is σ = 969514336992. Its totient is φ = 158585656320.

The previous prime is 400004044397. The next prime is 400004044421. The reversal of 400004044400 is 4440400004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4379624 + ... + 4470023.

Almost surely, 2400004044400 is an apocalyptic number.

400004044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400004044400 is an abundant number, since it is smaller than the sum of its proper divisors (569510292592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400004044400 is a wasteful number, since it uses less digits than its factorization.

400004044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849778 (or 8849767 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400004044400 its reverse (4440400004), we get a palindrome (404444444404).

The spelling of 400004044400 in words is "four hundred billion, four million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 400 452 565 904 1130 1808 2260 2825 4520 5650 9040 11300 22600 45200 8849647 17699294 35398588 44248235 70797176 88496470 141594352 176992940 221241175 353985880 442482350 707971760 884964700 1000010111 1769929400 2000020222 3539858800 4000040444 5000050555 8000080888 10000101110 16000161776 20000202220 25000252775 40000404440 50000505550 80000808880 100001011100 200002022200 400004044400